Answer:
The system is consistent; it has one solution ⇒ D
Step-by-step explanation:
A consistent system of equations has at least one solution
- The consistent independent system has exactly 1 solution
- The consistent dependent system has infinitely many solutions
An inconsistent system has no solution
In the system of equations ax + by = c and dx + ey = f, if
- a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutions
- a = d, b = e, and c ≠ f, then the system is inconsistent and has no solution
- a ≠ d, and/or b ≠ e, and/or c ≠ f, then the system is consistent independent and has exactly one solution
In the given system of equations
∵ -2y + 2x = 3 ⇒ (1)
∵ -5y + 5x = 12 ⇒ (2)
→ By comparing equations (1) and (2)
∵ -2 ≠ -5
∵ 2 ≠ 5
∵ 3 ≠ 12
→ By using the 3rd rule above
∴ The system is consistent independent and has exactly one solution
∴ The system is consistent; it has one solution
Answer:
19
Step-by-step explanation:
9+10=19
Answer:
<h2>width = 6 feet</h2>
Step-by-step explanation:
let l be the length of the rectangle
let w be the width of the rectangle
The statement
The length of a rectangle is 6 feet more than three times the width of the
rectangle is written as
l = 6 + 3w
From the question
l = 24 feet
Substitute the value into the above formula and solve for the width
That's
24 = 6 + 3w
3w = 24 - 6
3w = 18
Divide both sides by 3
w = 6
Therefore
<h3>width = 6 feet</h3>
Hope this helps you
Answer:
8, 2, - 9, - 7
Step-by-step explanation:
The domain is the first coordinate of an ordered pair. This means that the domain is going to be x. In this set of ordered pairs, the domain is 8, 5, - 9, - 7.
Hope This Helps :)
Answer:
I believe the correct answer is 60%